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用于具有数值原子轨道的周期性系统的拉普拉斯变换MP2的实现。

Implementation of Laplace Transformed MP2 for Periodic Systems With Numerical Atomic Orbitals.

作者信息

Shang Honghui, Yang Jinlong

机构信息

State Key Laboratory of Computer Architecture, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China.

Hefei National Laboratory for Physical Sciences at Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China.

出版信息

Front Chem. 2020 Nov 10;8:589992. doi: 10.3389/fchem.2020.589992. eCollection 2020.

DOI:10.3389/fchem.2020.589992
PMID:33240850
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7683768/
Abstract

We present an implementation of the canonical and Laplace-transformed formulation of the second-order Møller-Plesset perturbation theory under periodic boundary conditions using numerical atomic orbitals. To validate our approach, we show that our results of the Laplace-transformed MP2 correlation correction for the total energy and the band gap are in excellent agreement with the results of the canonical MP2 formulation. We have calculated the binding energy curve for the stacked trans-polyacetylene at the Hartree-Fock + MP2 level as a preliminary application.

摘要

我们展示了在周期性边界条件下,使用数值原子轨道对二阶莫勒-普莱塞特微扰理论的正则和拉普拉斯变换形式的一种实现。为了验证我们的方法,我们表明,对于总能量和带隙的拉普拉斯变换后的MP2相关校正结果与正则MP2形式的结果非常吻合。作为初步应用,我们已经计算了在哈特里-福克+MP2水平下堆叠反式聚乙炔的结合能曲线。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8304/7683768/2f2aceb83629/fchem-08-589992-g0002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8304/7683768/5a628d624b20/fchem-08-589992-g0001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8304/7683768/2f2aceb83629/fchem-08-589992-g0002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8304/7683768/5a628d624b20/fchem-08-589992-g0001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8304/7683768/2f2aceb83629/fchem-08-589992-g0002.jpg

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本文引用的文献

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J Chem Phys. 2018 Feb 14;148(6):064103. doi: 10.1063/1.5016100.
2
Local MP2 with Density Fitting for Periodic Systems: A Parallel Implementation.
J Chem Theory Comput. 2011 Sep 13;7(9):2818-30. doi: 10.1021/ct200352g. Epub 2011 Aug 19.
3
Implementation of screened hybrid density functional for periodic systems with numerical atomic orbitals: basis function fitting and integral screening.基于数值原子轨道的周期性体系筛选杂化密度泛函的实现:基函数拟合和积分筛选。
J Chem Phys. 2011 Jul 21;135(3):034110. doi: 10.1063/1.3610379.
4
Application of second-order Møller-Plesset perturbation theory with resolution-of-identity approximation to periodic systems.二阶微扰理论与含解析近似的完全活性空间自洽场方法在周期性体系中的应用。
J Chem Phys. 2010 Nov 14;133(18):184103. doi: 10.1063/1.3503153.
5
Dispersion-corrected Møller-Plesset second-order perturbation theory.含弥散修正的 Møller-Plesset 二级微扰理论。
J Chem Phys. 2009 Sep 7;131(9):094106. doi: 10.1063/1.3213194.
6
Second-order Møller-Plesset perturbation theory applied to extended systems. I. Within the projector-augmented-wave formalism using a plane wave basis set.应用于扩展体系的二阶莫勒-普莱塞特微扰理论。I. 在使用平面波基组的投影增强波形式体系内。
J Chem Phys. 2009 May 14;130(18):184103. doi: 10.1063/1.3126249.
7
Resolution of the identity atomic orbital Laplace transformed second order Møller-Plesset theory for nonconducting periodic systems.用于非导电周期系统的恒等式原子轨道拉普拉斯变换二阶莫勒-普莱塞特理论的解析
Phys Chem Chem Phys. 2008 Jun 21;10(23):3421-9. doi: 10.1039/b803274m. Epub 2008 May 14.
8
Tighter multipole-based integral estimates and parallel implementation of linear-scaling AO-MP2 theory.基于更紧密多极子的积分估计和线性标度AO-MP2理论的并行实现。
Phys Chem Chem Phys. 2008 Jun 21;10(23):3335-44. doi: 10.1039/b804110e. Epub 2008 May 23.
9
Periodic local MP2 method for the study of electronic correlation in crystals: Theory and preliminary applications.用于研究晶体中电子关联的周期性局域MP2方法:理论与初步应用
J Comput Chem. 2008 Oct;29(13):2113-24. doi: 10.1002/jcc.20975.
10
Rigorous integral screening for electron correlation methods.电子相关方法的严格积分筛选
J Chem Phys. 2005 Nov 8;123(18):184102. doi: 10.1063/1.2079987.